Question 835217
Q:
Each side of the rhombus is 14 in. Long. Two of the sides form a 60 degree angle. Find the area of the rhombus. Round your answer to the nearest square inch.
--------------------------------------------------
A:
Let h = height of the rhombus
and s = side 
So, sin 60 degrees = h/s
h/s = {{{sqrt(3)/2}}}
h = {{{s*sqrt(3)}}} 
h = {{{14*sqrt(3)/2}}} = {{{7sqrt(3)}}}

base = side = {{{7sqrt(3)}}}

The area of the rhombus is equal to the product of base and height.
Area = {{{14*(7*sqrt(3))}}} ≈ {{{highlight(170)}}} square inches